Parallel factor analysis in sensor array processing

IEEE Transactions on Signal Processing

Volumn 48, Issue 8, 2000, Pages 2377-2388

  Sidiropoulos, Nicholas D ^a   Bro, Rasmus ^b   Giannakis, Georgios B ^b,c  

^a University of Virginia   (United States)

^b University of Minnesota   (United States)

^c UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECTION OF ARRIVAL (DOA); LOW RANK DECOMPOSITION; PARALLEL FACTOR (PARFAC) ANALYSIS; SENSOR ARRAY PROCESSING;

FOURIER TRANSFORMS; INTERFERENCE SUPPRESSION; INVARIANCE; MATHEMATICAL MODELS; PARALLEL PROCESSING SYSTEMS;

SIGNAL DETECTION;

EID: 0034250083     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.852018     Document Type: Article

References (43)

1. R. Bro, "PARAFAC: Tutorial and applications," Chemometrics Intell. Lab. Syst., vol. 38, pp. 149-171, 1997.
2. R. Bro and C. A. Andersson, "Improving the speed of multi-way algorithms. Part II: Compression," Chemometrics Intell. Lab. Syst., to be published.
3. R. Bro, R. Harshman, and N. D. Sidiropoulos, "Rank-deficient models for multi-way data Part I: Theory," and "Rank-deficient models for multi-way data Part II: Flow injection analysis," , submitted for publication.
4. R. Bro and N. D. Sidiropoulos, "Least squares regression under unimodality and nonnegativity constraints," J. Chemometrics, vol. 12, pp. 223-247, 1998.
5. R. Bro, N. D. Sidiropoulos, and G. B. Giannakis, "Optimal joint azimuth-elevation and signal-array response estimation using parallel factor analysis," in Proc. 32nd Asilomar Conf. Signals, Syst., Comput., Monterey, CA, Nov. 1998.
6. _, "A fast least squares algorithm for separating trilinear mixtures," in Proc. Int. Workshop Ind. Component Anal. Blind Signal Separation, Aussois, France, Jan. 11-15, 1999.
7. J. D. Carroll and J. Chang, "Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition," Psychometrika, vol. 35, no. 3, pp. 283-319, 1970.
8. J. D. Carroll, S. Pruzansky, and J. B. Kruskal, "CANDELINC: A general approach to multidimensional analysis of many-way arrays with linear constraints on parameters," Psychometrika, vol. 45, pp. 3-24, 1980.
9. R. B. Cattell, "Parallel proportional profiles and other principles for determining the choice of factors by rotation," Psychometrika, vol. 9, pp. 267-283, 1944.
10. P. Comon, "Blind channel identification and extraction of more sources than sensors," in Proc. SPIE, San Diego, CA, July 19-24, 1998.
11. M. Haardt and J. A. Nossek, "Simultaneous Schur decomposition of several nonsymmetric matrices to achieve automatic pairing in multidimensional harmonic retrieval problems," IEEE Trans. Signal Processing, vol. 46, pp. 161-169, Jan. 1998.
12. M. Haardt, M. D. Zoltowski, C. P. Mathews, and J. A. Nossek, "2D unitary ESPRIT for efficient 2D parameter estimation," in Proc. ICASSP, vol. 3, Detroit, MI, May 8-12, 1995, pp. 2096-2099.
13. C. Hayashi and F. Hayashi, "A new algorithm to solve the PARAFAC model," Behaviormetrika, vol. 11, pp. 49-60, 1982.
14. R. A. Harshman, "Foundation of the PARAFAC procedure: Model and conditions for an 'explanatory' multi-mode factor analysis," UCLA Working Papers in Phonetics, vol. 16, pp. 1-84, Dec. 1970.
15. _, "Determination and proof of minimum uniqueness conditions for PARAFAC 1," UCLA Working Papers in Phonetics, vol. 22, pp. 111-117, 1972.
16. _, "PARAFAC2: Mathematical and technical notes," UCLA Working Papers in Phonetics, vol. 22, pp. 33-44, 1972.
17. R. A. Harshman and M. E. Lundy, "The PARAFAC model for three-way factor analysis and multidimensional scaling," in Research Methods for Multimode Data Analysis, H. G. Law, C. W. Snyder, Jr., J. Hattie, and R. P. McDonald, Eds. New York: Praeger, 1984, pp. 122-215.
18. B. Hochwald and A. Nehorai, "Identifiability in array processing models with vector-sensor applications," IEEE Trans. Signal Processing, vol. 44, pp. 83-95, Jan. 1996.
19. H. Krim and M. Viberg, "Two decades of array signal processing research," IEEE Signal Processing Mag., pp. 67-95, July 1996.
20. J. B. Kruskal, "Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics," Linear Algebra Applicat., vol. 18, pp. 95-138, 1977.
21. _, "Rank decomposition, and uniqueness for 3-way and N-way arrays," in Multiway Data Analysis, R. Coppi and S. Bolasco, Eds. Amsterdam, The Netherlands: North-Holland, 1988, pp. 7-18.
22. L. de Lathauwer, "Signal processing based on multilinear algebra," Doctoral thesis, Katholieke Univ. Leuven, Leuven, Belgium, Sept. 1997.
23. B. Ottersten, M. Viberg, and T. Kailath, "Analysis of subspace fitting and ML techniques for parameter estimation from sensor array data," IEEE Trans. Signal Process., vol.40, no.3, pp. 590-599, Mar. 1992
24. J. G. Proakis, Digital Communications, 3rd ed. New York: McGraw-Hill, 1995.
25. R. Roy and T. Kailath, "ESPRIT - Estimation of signal parameters via rotational invriance techniques," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 984-995, July 1989.
26. R. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propagat., vol. AP-34, pp. 276-280, Mar. 1986.
27. P. H. Schonemann, "An algebraic solution for a class of subjective metrics models," Psychometrika, vol. 37, p. 441, 1972.
28. N. D. Sidiropoulos, G. B. Giannakis, and R. Bro, "Deterministic waveform-preserving blind separation of DS-CDMA signals using an antenna array," in Proc. IEEE SP Workshop Statist. Signal Array Process., Portland, OR, Sept. 14-16, 1998, pp. 304-307.
29. _, "Blind PARAFAC receivers for DS-CDMA systems," IEEE Trans. Signal Processing, vol. 48, pp. 810-823, Mar. 2000.
30. N. D. Sidiropoulos and X. Liu, "Identifiability conditions for deterministic blind beamforming in the presence of incoherent multipath with small delay spread," in Proc. EUSIPCO, Tampere, Finland, Sept. 5-8, 2000.
31. A. Swindlehurst and T. Kailath, "Algorithms for azimuth-elevation direction finding using regular array geometries," IEEE Trans. Aerosp. Electron. Syst., vol. 29, pp. 145-156, Jan. 1993.
32. A. Swindlehurst, B. Ottersten, R. Roy, and T. Kailath, "Multiple invariance ESPRIT," IEEE Trans. Signal Processing, vol. 40, pp. 868-881, Apr. 1992.
33. S. Talwar, M. Viberg, and A. Paulraj, "Blind separation of synchronous co-channel digital signals using an antenna array - Part I: Algorithms," IEEE Trans. Signal Processing, vol. 44, pp. 1184-1197, May 1996.
34. K.-C. Tan and Z. Goh, "A detailed derivation of arrays free of higher rank ambiguties," IEEE Trans. Signal Processing, vol. 44, pp. 351-359, Feb. 1996.
35. K.-C. Tan, S. S. Goh, and E.-C. Tan, "A study of the rank-ambiguity issues in direction-of-arrival estimation," IEEE Trans. Signal Processing, vol. 44, pp. 880-887, Apr. 1996.
36. A.-J. van der Veen, P. B. Ober, and E. F. Deprettere, "Azimuth and elevation computation in high resolution DOA estimation," IEEE Trans. Signal Processing, vol. 40, pp. 1828-1832, July 1992.
37. M. Viberg and B. Ottersten, "Sensor array processing based on subspace fitting," IEEE Trans. Signal Processing, vol. 39, pp. 1110-1121, May 1991.
38. B. Ottersten, M. Viberg, and T. Kailath, "Performance analysis of the total least squares ESPRIT algorithm," IEEE Trans. Signal Processing, vol. 39, pp. 1122-1135, May 1991.
39. M. Viberg, B. Ottersten, and T. Kailath, "Detection and estimation in sensor arrays using weighted subspace fitting," IEEE Trans. Signal Processing, vol. 39, pp. 2436-2449, Nov. 1991.
40. M. Wax and I. Ziskind, "On unique localization of multiple sources by passive sensor arrays," IEEE Trans. Acoust. Speech, Signal Processing, vol. 37, pp. 996-1000, July 1989.
41. K. T. Wong and M. D. Zoltowski, "Closed-form multi-dimensional multi-invariance ESPRIT," Proc. ICASSP, vol. 5, pp. 3489-3492, Apr. 21-24, 1997.
42. M. Zoltowski and D. Stavrinides, "Sensor array signal processing via a procrustes rotations based eigenanalysis of the ESPRIT data pencil," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, p. 832, June 1989.
43. N. D. Sidiropoulos and X. Liu, "PARAFAC methods for deterministic blind beamforming: Identifiability," , submitted for publication.